Electronic Journal of Differential Equations,
Conference 01 (1998), pp. 149-157. 

Title: Governing equations of fluid mechanics in physical curvilinear coordinate system


Authors: Swungho Lee (Hyundai Maritime Research Institute, Korea)
&  Bharat K. Soni (Mississippi State Univ., MS, USA) 
 
Abstract: 
This paper presents the development of unsteady three-dimensional
incompressible Navier-Stokes and Reynolds-averaged Navier-Stokes equations
in an unsteady physical curvilinear coordinate system.  It is demonstrated
that the numerical simulations based on governing equations in  a physical
curvilinear coordinate system are less mesh sensitive than other schemes.



Published November 12, 1998.
Math Subject Classifications: 65N30, 35Q30
Key Words: Physical curvilinear coordinate systems; indent incompressible flows; transformations.